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Finding the Third Proportional to 557,466 and 823,074

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Solution

The third proportional to 557,466 and 823,074 is: 1,215,232.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,466 : 823,074 = 823,074 : x
  2. Step 2: Convert to fraction form
    557,466/823,074 = 823,074/x
  3. Step 3: Cross multiply
    557,466x = 823,074 × 823,074
  4. Step 4: Simplify right side
    557,466x = 677,450,809,476
  5. Step 5: Solve for x
    x = 677,450,809,476/557,466
  6. Step 6: Final answer
    x = 1,215,232.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.